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Use the image to answer the question.

An illustration shows five points upper A, upper B, upper C, upper D, and upper E. Five rays from a common vertex at upper F connect the five points. The angles between them are labeled. The rays extend beyond the five points with an arrow on one side. The rays upper F upper A, upper F upper B, upper F upper C, upper F upper D, and upper F upper E extend through the points from upper F. The ray upper F upper A extends horizontally to the left of upper F. The ray upper F upper B extends vertically upward from upper F. The ray upper F upper C is inclined upward to the right of upper F. The ray upper F upper D extends horizontally to the right of upper F. The ray upper F upper E extends downward to the left of upper F. Angle upper A upper F upper B is marked with a right angle symbol and labeled 1. Angle upper B upper F upper C is labeled as 2. Angle upper C upper F upper D is labeled 3. Angle upper D upper F upper E is labeled 4. Angle upper E upper F upper A is labeled 5.

What two angles are complementary angles? List the smaller angle value first and the larger angle value second.

(1 point)
smaller ∠
and larger ∠
a

2 answers

To find the complementary angles, we need to identify pairs of angles that add up to 90 degrees.

From the description, we know that:

  • Angle ∠A∠F∠B is a right angle (90 degrees).
  • Angles are given as:
    • ∠A∠F∠B = 90° (Angle 1)
    • ∠B∠F∠C = Angle 2
    • ∠C∠F∠D = Angle 3
    • ∠D∠F∠E = Angle 4
    • ∠E∠F∠A = Angle 5

Since ∠A∠F∠B is a right angle, it doesn't have a complementary angle—it already measures 90 degrees.

Next, we need to check for any pair of angles that add up to 90 degrees:

The angles that may be complementary are:

  • ∠B∠F∠C (Angle 2) and ∠C∠F∠D (Angle 3)
  • ∠D∠F∠E (Angle 4) and ∠E∠F∠A (Angle 5)
  • ∠E∠F∠A (Angle 5) and ∠B∠F∠C (Angle 2)

If we assume typical values, commonly:

  • ∠B∠F∠C = 45° and ∠C∠F∠D = 45° (adds up to 90)
  • Similar analysis can be done with other angles.

Therefore, the pairs of angles identified as complementary can include values like:

Let’s take an example for complementary angles that total to 90 degrees:

  • ∠B∠F∠C = 45°
  • And other complementary pairs as the illustration suggests might include:
  • ∠D∠F∠E = 45°

Thus not knowing the exact values visually, typically, Assuming: If ∠B∠F∠C = 30° and ∠C∠F∠D = 60° it makes them not complementary. And if we evaluate others accordingly.

In conclusion:

The specific question may not have a clearer value from the image being non-visual, but let’s fill in a valid example like:

  • smaller ∠ = 30° and larger ∠ = 60°.

Therefore writing the answer as: 30° and 60°.

However, if you have specific angles values they can guide direct answer pairs as given or observed (ensure pair sums to 90).

that's no right